What is the Least Common Multiple of 16627 and 16640?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 16627 and 16640 is 21282560.
LCM(16627,16640) = 21282560
Least Common Multiple of 16627 and 16640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16627 and 16640, than apply into the LCM equation.
GCF(16627,16640) = 13
LCM(16627,16640) = ( 16627 × 16640) / 13
LCM(16627,16640) = 276673280 / 13
LCM(16627,16640) = 21282560
Least Common Multiple (LCM) of 16627 and 16640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16627 and 16640. First we will calculate the prime factors of 16627 and 16640.
Prime Factorization of 16627
Prime factors of 16627 are 13, 1279. Prime factorization of 16627 in exponential form is:
16627 = 131 × 12791
Prime Factorization of 16640
Prime factors of 16640 are 2, 5, 13. Prime factorization of 16640 in exponential form is:
16640 = 28 × 51 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 16627 and 16640.
LCM(16627,16640) = 131 × 12791 × 28 × 51
LCM(16627,16640) = 21282560
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